QUICK HELP!! 50 POINTS!!
Find the value of x.

x=

Answer:

can you send a more clear photo its quite blurry

By the remainder theorem,

p(a) = 3a³ + a² + 5a = -7

so that

3a³ + a² + 5a + 7 = 0

Since you know a is an integer, you can try to factorize this, or use the rational root theorem to generate a list of potential rational roots, and from there you'd select the integer roots. The rational ones are of the form m/n, where m divides the constant term 7 and n divides the leading coefficient 3. They are

a = ± 1 or ± 1/3 or ± 7 or ±7/3

so there are 4 integer candidates,

a = -1 or 1 or -7 or 7

Check the value of f(a) = 3a³ + a² + 5a + 7 at each of these:

a = -1   →   f(a) = 0

a = 1   →   f(a) = 16

a = -7   →   f(a) = -1008

a = 7   →   f(a) = 1120

and only a = -1 is a root of 3a³ + a² + 5a + 7, so that's your answer. In fact,

3a³ + a² + 5a + 7 = (a + 1) (3a² - 2a + 7)

"To determine if a function is even or odd, check if it satisfies the properties of evenness or oddness algebraically."

When determining whether a function is even or odd, we need to apply specific algebraic conditions to verify its symmetry properties. An even function satisfies the condition f(-x) = f(x) for all x in its domain, meaning that substituting -x into the function yields the same result as using x. On the other hand, an odd function satisfies the condition f(-x) = -f(x) for all x in its domain, indicating that substituting -x into the function results in the negative of the value obtained using x. By applying these algebraic tests, we can determine if a function exhibits evenness, oddness, or neither, which provides insight into its symmetry properties.

"To determine if a function is even or odd, check if it satisfies the properties of evenness or oddness algebraically."

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If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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Answer:

Greatest is Miami

Least is Washington

Step-by-step explanation:

Population/Area= Population Density

Ex:

Population 2

Area 1

2/1=2

Answer:

(x+1)(2x+3)=0 is the answer

Step-by-step explanation:

2x²+5x=-3

2x²+5x+3=0

2x²+3x+2x+3=0

x(2x+3)+1(2x+3)=0

(x+1)(2x+3)=0

i hope this will help you :)

By prime factorization and properties for radical functions, we conclude that the square root of 484 is equal to 22.

There are two kinds of natural numbers: prime numbers and compound numbers. Prime numbers are numbers that are only divided by 1 and by itself and compound numbers are numbers that are products of prime numbers.

First, we determine the form of 484 as a product of prime numbers:

484 = 242 × 2

484 = 121 × 2²

484 = 2² × 121

484 = 2² × 11²

Finally, we proceed to obtain the square root of 484 by applying square roots on both sides of the equation and properties for radical functions:

√484 = √(11² × 2²)

√484 = √11² × √2²

√484 = 11 × 2

√484 = 22

By prime factorization and properties for radical functions, we conclude that the square root of 484 is equal to 22.

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Answer: -2/3

Step-by-step explanation:

y2-y1 / x2-x1

=3-5 / 4-1

= -2/3

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95

Hey there! I'm happy to help!

To find the volume of a rectangular prism, you simply multiply each of the three different sides!

18×9×17=2754

Therefore, the volume of this rectangular prism is c. 2754 units cubed.

Now you can find the volume of a rectangular prism! Have a wonderful day!

Answer: 120

Step-by-step explanation:

100 + 20 = 120. that's it

Answer: 168 liters

Step-by-step explanation:

From the information given , we are informed that they put out 12 three-and-a-half liter containers and that each of these containers was filled four times during the storm.

The amount of rain that was collected in all goes thus:

Since each container was filled 4 times, the amount filled by each container will be:

= 3 1/2 liters × 4

= 14 liters

Therefore, the total amount for the 12 containers will be:

= 12 × 14 liters

= 168 liters

Answer:

She need 3 more questions to answer

Step-by-step explanation:

Since 1 question equals 5 marks

Answer:

8

Step-by-step explanation:

Angle on a straight line equals 180degrees

(5x+2) + <LNM = 180

<LNM = 180 - (5x+2)

<NLM + <LMN + <LNM = 180 (sum of <s in a triangle)

x+10+x+16+180-(5x+2)=180

x+10+x+16+180-5x-2=180

Collecting like terms

-3x = 180-180-24

-3x = -24

x = 8

The probability that in a period of 100 days, the average number of red lights encountered is more than 2 per day is 0.5.

The probability that in a period of 100 days, the average number of red lights encountered is more than 2 per day can be determined using the normal distribution.

The given data are: Mean, μ = 2Standard deviation, σ = √2/5 = 0.4472N = 100Let X be the number of red lights encountered in a day, then the total number of red lights in 100 days = 100 X.

Based on the central limit theorem, the distribution of the sum of a large number of independent and identically distributed (iid) random variables approaches a normal distribution.

Since the sample size is large enough, the distribution of the sample means follows a normal distribution with mean, μx = μ = 2 and standard deviation, σx = σ/√N = 0.0447

The probability that the average number of red lights encountered is more than 2 per day can be written as:P(X > 2) = P(Z > (2 - μx)/σx) = P(Z > (2 - 2)/0.0447) = P(Z > 0) = 0.5.

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Answer:

Step-by-step explanation:

The length of side LJ in triangle JKL is approximately 12.27 centimetre .

To determine the length of side LJ in triangle JKL, we can use the concept of similarity between triangles. When two triangles are similar, their corresponding sides are proportional.

Length of side XY in triangle XYZ: 8.7

Length of side XZ in triangle XYZ: 8.2

Length of side YZ in triangle XYZ: 7.8

Length of side JK in triangle JKL: 13.05

Let's set up the proportion using the corresponding sides:

XY / JK = XZ / LJ = YZ / KL

Substituting the given values:

8.7 / 13.05 = 8.2 / LJ = 7.8 / KL

Now, we can solve for LJ:

8.2 / LJ = 8.7 / 13.05

Cross-multiplying:

8.2 * 13.05 = 8.7 * LJ

106.71 = 8.7 * LJ

Dividing both sides by 8.7:

LJ = 106.71 / 8.7

LJ ≈ 12.27

Therefore, the length of side LJ in triangle JKL is approximately 12.27cemtimetre .

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Answer:

- 1 and -11

Step-by-step explanation:

-1 × -11 = 11

- 1 + - 11 = -12

Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity can be approximated as normal with mean µ and standard deviation σ.

Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity (M) can also be approximated as normal.

Let n be the number of moles of solute and V be the volume of the solution in liters. Then the molarity M is given by:

M = n/V

Using the rules of propagation of errors, we can find the variance of M in terms of the variances of n and V as:

Var(M) = Var(n)/V^2 + (n^2/ V^4) * Var(V)

Assuming that the variance of the number of moles of solute and the variance of the volume are known, we can use the above formula to calculate the variance of the molarity.

Once we have the mean and variance of the molarity, we can approximate its distribution as normal using the following parameters:

- Mean: µ = E(M)

- Standard deviation: σ = sqrt(Var(M))

Therefore, the distribution of molarity M is approximately normal with mean µ and standard deviation σ.

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Answer: 1

Step-by-step explanation:

\(\displaystyle\\\frac{14}{33} *\frac{55}{8} *\frac{12}{35} =\\\\\frac{14*55*12}{33*8*35}=\\\\\frac{2*7*5*11*3*4}{3*11*2*4*5*7}=\\\\\frac{1}{1}=\\\\1\)

Answer:

6 r10

Step-by-step explanation:

If you do 215 divided by 32 you get 6.71875 so i just rounded your answers and got B) if not be its D)

Answer:

C

Step-by-step explanation:

The area of triangle varies jointly as its base and height. Given that the area of a triangle with a height of 24 cm and a base of 4 cm is 48 cm, we can find the area of a triangle with a height of 16 cm and a base of 6 cm.

Let A represent the area of the triangle, b represent the base, and h represent the height. According to the given information, the area A varies jointly as the base b and the height h, which can be expressed as A = k * b * h, where k is a constant of variation.

We are given that when h = 24 cm and b = 4 cm, the area A is 48 cm. Substituting these values into the equation, we get 48 = k * 4 * 24. Simplifying this equation, we find that k = 1.

Now, we can use the value of k to find the area of the triangle when h = 16 cm and b = 6 cm. Plugging these values into the equation A = k * b * h, we get A = 1 * 6 * 16. Simplifying, we find that the area is 96 cm.

Therefore, the area of a triangle with a height of 16 cm and a base of 6 cm is 96 cm.

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Assuming the pressure and temperature remain the same, it would take 8.576 min for the same volume of UF6 to effuse through a porous membrane.

The effusion rate of a gas is determined by its molecular weight and the temperature and pressure of the system.

1. Calculate the molecular weight of Kr:

Molecular weight of Kr = 39.0983 g/mol

2. Calculate the molecular weight of UF6:

Molecular weight of UF6 = 352.03 g/mol

3. Calculate the ratio of the molecular weights:

Ratio of molecular weights = 352.03/39.0983 = 9.00

4. Calculate the effusion rate of UF6:

Effusion rate of UF6 = 8.576 min x 9.00 = 77.184 min

The effusion rate of a gas is determined by its molecular weight and the temperature and pressure of the system. To calculate the effusion rate of UF6, we first need to calculate the ratio of the molecular weights of Kr and UF6. Then, we can use this ratio to calculate the effusion rate of UF6, which is 77.184 min.

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The result of the given exponential expression is given as 1/8, 3^2, 1/5 and 5^-2

Some of the properties of exponents are expressed as shown below;

1) a^-n = 1/a^n

In order to answer the given questions, we will use the following properties above;

3^-4 = 1/3^4 where a is equivalent to 3 and n is equivalent to 4

Similarly;

1/2^3 = 2^-3 = 1/8

For the expression 1/3^-2
1/3^-2 = 1/(1/3^2)

1/3^-2 = 3^2

For the expression 5^-1
5^-1 = 1/5^1
5^-1 = 1/5

Also for 1/5^2
1/5^2 = 1/25 = 5^-2

Hence the result of the given exponential expression is given as 1/8, 3^2, 1/5 and 5^-2

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Answer:55%

Step-by-step explanation:

1264/2300 ?/100

1264*100= 126400

126400/2300= 54.95 then round and get 55

Answer:

8

Step-by-step explanation:

To find the value of the number, form an equation using the provided information.

Define variables used:

Let the number be n.

The sum of the number and 4 is equivalent to (n +4). Four times this sum would therefore by 4(n +4).

Let's equate it to 48:

4(n +4)= 48

Now that the equation is formed, let's solve for n.

Divide both sides by 4:

n +4= 48 ÷4

n +4= 12

Subtract 4 from both sides:

n= 12 -4

n= 8

Thus, the number is 8.

You again? ok

4x+4=48

so you have to undo everything here

so first if this was a normal problem you would

1. multiply 4 and x

2.add 4

so go from the last step to the first like this

4x+4=48

-4. -4

--------------

4x=44

now hear to undo multiplication you would divide

4x/4=48/4

=

x=12

Answer: b

Step-by-step explanation: in order to be a function an input value should only have one output value. 8 has two output values ( 2 and -1 ) so it’s not a function.

Answer:

B and D

Step-by-step explanation:

Using this editor, you never want to pick a. The answer requires brackets.

B  is correct

C is not for the same reason A is not.

D is awkward but it is correct.

E is not. The brackets ought to contain 5 + 6

Hope this helps, have a nice day!!!

Our answers are

1 4/7 and 1 5/9